Objective Partial Differential Equations (PDE's) undoubtedly are among the main tools for an efficient modelling of physical phenomena. Infinite-dimensional analogues of regular (integrable) behaviour, previously confined to the theory of systems with a finite number of degrees of freedom began to be considered in the middle of the XX century in fluid dynamics, field theory and plasma physics. The idea that an integrable behaviour persists in non-integrable systems, together with the combination of the state-of-the-art numerical methods with front-line geometrical and analytical techniques in the theory of Hamiltonian PDE's is the leitmotiv of this research project. Asymptotic regimes leading to phase transitions both in the theory of dispersive PDEs and the theory of Random Matrices display universality properties which can be analysed both numerically and analytically. The predictive power of numerics and scientific computing can be used both as a testing tool for theoretical models and as a generator of new conjectures.By focussing the expertise of front line researchers in different areas of Mathematics towards the study of critical phenomena in dispersive PDE's, we expect results in realms including differential and algebraic geometry, the theory of random matrices, multiscale analysis of PDE's as well as non-linear models of stratified fluid flows. The broad interdisciplinary basis and intertwining of methods of Geometry and Mathematical Physics will be instrumental in making the results accessible for the wider community. Younger (Ph.D. and/or Post-Docs) Researchers to be included in such an active and fertile research and training ground, will certainly seize their chance to enhance and broaden their skills. Fields of science natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equationsnatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Keywords Integrable Systems Random Matrices Painlevé Equations Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.3. - Stimulating innovation by means of cross-fertilisation of knowledge Topic(s) MSCA-RISE-2017 - Research and Innovation Staff Exchange Call for proposal H2020-MSCA-RISE-2017 See other projects for this call Funding Scheme MSCA-RISE - Marie Skłodowska-Curie Research and Innovation Staff Exchange (RISE) Coordinator UNIVERSITA' DEGLI STUDI DI MILANO-BICOCCA Net EU contribution € 94 500,00 Address PIAZZA DELL'ATENEO NUOVO 1 20126 MILANO Italy See on map Region Nord-Ovest Lombardia Milano Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 193 500,00 Participants (3) Sort alphabetically Sort by Net EU contribution Expand all Collapse all SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Italy Net EU contribution € 198 000,00 Address VIA BONOMEA 265 34136 Trieste See on map Region Nord-Est Friuli-Venezia Giulia Trieste Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 297 000,00 UNIVERSITE D'ANGERS France Net EU contribution € 108 000,00 Address RUE DE RENNES 40 49035 Angers Cedex 01 See on map Region Pays de la Loire Pays de la Loire Maine-et-Loire Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 153 000,00 COMMUNAUTE D' UNIVERSITES ET ETABLISSEMENTS UNIVERSITE BOURGOGNE - FRANCHE - COMTE France Net EU contribution € 139 500,00 Address 32 AVENUE DE L'OBSERVATOIRE 25000 BESANCON See on map Region Bourgogne-Franche-Comté Franche-Comté Doubs Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 243 000,00 Partners (7) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. THE TRUSTEES OF INDIANA UNIVERSITY United States Net EU contribution € 0,00 Address PO BOX 1847 47402 Bloomington See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 27 000,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. UNIVERSITY OF OTAGO New Zealand Net EU contribution € 0,00 Address SAINT DAVID STREET 9054 Dunedin See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 72 000,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. UNIVERSITE DE MONTREAL Canada Net EU contribution € 0,00 Address CP 6128 Station Centre Ville H3C3J7 Montreal See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 81 000,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. TSINGHUA UNIVERSITY China Net EU contribution € 0,00 Address QING HUA YUAN 100084 BEIJING See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 22 500,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. THE UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL United States Net EU contribution € 0,00 Address "AIRPORT DRIVE 104 SUITE 2200 CB #1350" 27599 Chapel Hill See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 63 000,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. BOARD OF GOVERNORS OF THE COLORADO STATE UNIVERSITY SYSTEM United States Net EU contribution € 0,00 Address COLORADO STATE UNIVERSITY 80523 2001 Fort Collins See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 54 000,00 Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. NEW YORK UNIVERSITY United States Net EU contribution € 0,00 Address 70 WASHINGTON SQUARE SOUTH 10003 1526 New York See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 27 000,00